hw5 - A = i 1 j 2 k | i 6 = j or j 6 = k or k 6 = i B = w...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
CS 181 — Winter 2006 Problem Set #5 Formal Languages Due February 20, 2008 Problem 4.1. (10 points) Recall the shuffle operator from Homework 2. Prove or disprove: a. Context free languages are closed under shuffle. b. Let L be context free and R regular. Then the shuffle of L and R is context free. Problem 4.2. (10 points) Classify the following languages as context free or not.
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: A = { i 1 j 2 k | i 6 = j or j 6 = k or k 6 = i } B = { w ∈ { , 1 , 2 } * | the number oF 0’s, 1’s and 2’s are all equal } Problem 4.3. (10 points) Let C = { x # y | x,y ∈ { , 1 } * and x 6 = y } . Show that C is context Free by giving both a C±G and a PDA For C ....
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern